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- W1004763823 abstract "The current variety of filtration theories suggests that the porous medium and the fluid filling it form some continuous medium. That is, the elements of the porous medium-fluid system, though considered physically infinitesimal, however, are large enough compared to the size of pores and particles (grains, fibers) forming a porous medium. Averaged characteristics of the porous medium, which are introduced for mathematical description, may be sufficiently substantiated only for the volume with a large number of enclosed pores and particles. In terms of the elementary theory of filtration, the meaning of the solid skeleton of the porous medium is, above all, geometric—the skeleton limits the region of space in which the fluid moves. In more complex cases, we have seen strong interaction between the skeleton and the adjacent layers of the fluid. Therefore, the properties of the porous medium in the theory of filtration are usually described by a set of geometric averages. In this chapter, several cell models are considered for calculation of hydrodynamic permeability of porous media. It is assumed that porous media in general may consist of partially porous spherical or cylindrical particles. Different limiting cases are investigated and theoretical results are compared with experimental data." @default.
- W1004763823 created "2016-06-24" @default.
- W1004763823 creator A5075125850 @default.
- W1004763823 date "2014-01-01" @default.
- W1004763823 modified "2023-09-26" @default.
- W1004763823 title "Mathematical Modeling of Filtration Processes in Porous Media" @default.
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- W1004763823 doi "https://doi.org/10.1007/978-1-4471-6377-0_13" @default.
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